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- W2093735648 abstract "In this paper, we study some connections between characters of countably tight spaces of size ω 1 and inaccessible cardinals. A countable tight space is indestructible if every σ -closed forcing notion preserves countable tightness of the space. We show that, assuming the existence of an inaccessible cardinal, the following statements are consistent: (1) Every indestructibly countably tight space of size ω 1 has character ⩽ ω 1 . (2) 2 ω 1 > ω 2 and there is no countably tight space of size ω 1 and character ω 2 . For the converse, we show that, if ω 2 is not inaccessible in the constructible universe L , then there is an indestructibly countably tight space of size ω 1 and character ω 2 ." @default.
- W2093735648 created "2016-06-24" @default.
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- W2093735648 date "2014-01-01" @default.
- W2093735648 modified "2023-09-29" @default.
- W2093735648 title "Characters of countably tight spaces and inaccessible cardinals" @default.
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- W2093735648 doi "https://doi.org/10.1016/j.topol.2013.09.011" @default.
- W2093735648 hasPublicationYear "2014" @default.
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